3670664960 has 72 divisors (see below), whose sum is σ = 8874892656. Its totient is φ = 1454489600.

The previous prime is 3670664923. The next prime is 3670664969. The reversal of 3670664960 is 694660763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3670664969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123560 + ... + 150360.

It is an arithmetic number, because the mean of its divisors is an integer number (123262398).

Almost surely, 2^3670664960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3670664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437446328).

3670664960 is an abundant number, since it is smaller than the sum of its proper divisors (5204227696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3670664960 is a wasteful number, since it uses less digits than its factorization.

3670664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26929 (or 26915 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 47.

The square root of 3670664960 is about 60586.0129072709. The cubic root of 3670664960 is about 1542.5819620268.

The spelling of 3670664960 in words is "three billion, six hundred seventy million, six hundred sixty-four thousand, nine hundred sixty".